Details

analyze888.0ms (7.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify230.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4989	16
1	4989	16

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

2.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

2.5b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.5b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_11353`
71×	`*-un-lft-identity_binary64_11331`
51×	`times-frac_binary64_11337`
31×	`associate-r_binary64_11271`
27×	`add-cube-cbrt_binary64_11366`
22×	`distribute-lft-out--_binary64_11283` `difference-of-squares_binary64_11300`
10×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
5×	`pow1_binary64_11392` `associate-/l_binary64_11276` `add-log-exp_binary64_11370` `associate-/r_binary64_11275`
4×	`associate-/r/_binary64_11277`
3×	`flip3--_binary64_11335` `associate-l_binary64_11272` `flip--_binary64_11306`
2×	`cbrt-unprod_binary64_11364` `div-exp_binary64_11382` `associate-/l/_binary64_11278` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `unswap-sqr_binary64_11299` `prod-exp_binary64_11380`
1×	`-commutative_binary64_11262` `+-commutative_binary64_11261` `sum-log_binary64_11422` `frac-2neg_binary64_11342` `flip3-+_binary64_11334` `associate-r/_binary64_11273` `div-sub_binary64_11336` `pow-prod-down_binary64_11402` `flip-+_binary64_11305` `clear-num_binary64_11330`

Counts

3 → 113

Calls

6 calls:

18.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
10.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series850.0ms (7%)

Counts

3 → 85

Calls

3 calls:

451.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
243.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
156.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

Compiler

Compiled 2314 to 1793 computations (22.5% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4973	4123
1	4973	4123

prune186.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	193	5	198
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	194	5	199

Error

0.0b

Counts

199 → 5

Compiler

Compiled 3824 to 731 computations (80.9% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

2.5b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
0.2b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.0b	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
0.0b	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.2b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
2.5b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite119.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_11337`
336×	`add-sqr-sqrt_binary64_11353`
324×	`*-un-lft-identity_binary64_11331`
158×	`add-cube-cbrt_binary64_11366`
98×	`associate-r_binary64_11271`
82×	`distribute-lft-out--_binary64_11283` `difference-of-squares_binary64_11300`
36×	`add-exp-log_binary64_11369` `associate-/r*_binary64_11275`
20×	`add-cbrt-cube_binary64_11367`
18×	`associate-/r/_binary64_11277`
15×	`div-exp_binary64_11382`
10×	`div-inv_binary64_11328`
9×	`flip3--_binary64_11335` `flip--_binary64_11306`
8×	`associate-/l*_binary64_11276`
7×	`pow1_binary64_11392` `cbrt-undiv_binary64_11365` `prod-exp_binary64_11380`
6×	`add-log-exp_binary64_11370`
5×	`unswap-sqr_binary64_11299`
4×	`1-exp_binary64_11375` `rec-exp_binary64_11381`
3×	`cbrt-unprod_binary64_11364` `associate-l_binary64_11272`
2×	`associate-/l/_binary64_11278` `frac-2neg_binary64_11342` `clear-num_binary64_11330`
1×	`-commutative_binary64_11262` `+-commutative_binary64_11261` `pow-flip_binary64_11405` `sum-log_binary64_11422` `un-div-inv_binary64_11329` `inv-pow_binary64_11416` `flip3-+_binary64_11334` `associate-r/_binary64_11273` `div-sub_binary64_11336` `pow-prod-down_binary64_11402` `flip-+_binary64_11305`

Counts

4 → 338

Calls

8 calls:

39.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
14.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
10.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
5.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
0.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))

series1.2s (9.4%)

Counts

4 → 108

Calls

4 calls:

599.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
240.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
159.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
153.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 3038 to 2390 computations (21.3% saved)

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

446 → 446

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5164	9631

prune368.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	445	1	446
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	447	4	451

Error

Counts

451 → 4

Compiler

Compiled 9699 to 2566 computations (73.5% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 1 (/.f64 1 (-.f64 z t)))
0.0b	(/.f64 1 (-.f64 z t))
0.0b	(/.f64 y (-.f64 z a))
0.0b	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (/.f64 1 (-.f64 z t)))))
0.0b	(/.f64 1 (-.f64 z t))
0.0b	(/.f64 y (-.f64 z a))
0.1b	(/.f64 1 (/.f64 1 (-.f64 z t)))
13.0b	(*.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (/.f64 1 (-.f64 z t))))

rewrite112.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

303×	`times-frac_binary64_11337`
249×	`add-sqr-sqrt_binary64_11353`
214×	`*-un-lft-identity_binary64_11331`
140×	`add-cube-cbrt_binary64_11366`
108×	`add-exp-log_binary64_11369`
68×	`associate-r_binary64_11271`
58×	`div-exp_binary64_11382`
34×	`add-cbrt-cube_binary64_11367`
32×	`distribute-lft-out--_binary64_11283` `difference-of-squares_binary64_11300`
31×	`associate-/r*_binary64_11275`
26×	`prod-exp_binary64_11380`
22×	`1-exp_binary64_11375` `rec-exp_binary64_11381` `associate-/r/_binary64_11277`
21×	`associate-l_binary64_11272`
14×	`cbrt-undiv_binary64_11365` `unswap-sqr_binary64_11299`
12×	`div-inv_binary64_11328`
10×	`flip3--_binary64_11335` `flip--_binary64_11306`
9×	`pow1_binary64_11392` `associate-/l*_binary64_11276`
6×	`cbrt-unprod_binary64_11364`
5×	`pow-flip_binary64_11405`
4×	`add-log-exp_binary64_11370`
3×	`frac-2neg_binary64_11342` `inv-pow_binary64_11416` `clear-num_binary64_11330`
1×	`-commutative_binary64_11262` `associate-l/_binary64_11274` `frac-times_binary64_11341` `un-div-inv_binary64_11329` `remove-double-div_binary64_11307` `associate-*r/_binary64_11273` `pow-prod-down_binary64_11402`

Counts

4 → 343

Calls

8 calls:

46.0ms	(*.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (/.f64 1 (-.f64 z t))))
15.0ms	(/.f64 1 (/.f64 1 (-.f64 z t)))
7.0ms	(/.f64 1 (-.f64 z t))
6.0ms	(/.f64 y (-.f64 z a))
0.0ms	(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (/.f64 1 (-.f64 z t)))))

series480.0ms (3.9%)

Counts

4 → 76

Calls

4 calls:

238.0ms	(*.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (/.f64 1 (-.f64 z t))))
139.0ms	(/.f64 y (-.f64 z a))
61.0ms	(/.f64 1 (-.f64 z t))
41.0ms	(/.f64 1 (/.f64 1 (-.f64 z t)))

Compiler

Compiled 2130 to 1775 computations (16.7% saved)

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

419 → 419

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5167	6549

prune363.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	419	0	419
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	419	4	423

Error

Counts

423 → 4

Compiler

Compiled 8367 to 2867 computations (65.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.3b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
9.3b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_11331`
8×	`add-sqr-sqrt_binary64_11353`
7×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
5×	`associate-/r*_binary64_11275` `times-frac_binary64_11337`
4×	`add-log-exp_binary64_11370` `add-cube-cbrt_binary64_11366`
2×	`distribute-lft-out--_binary64_11283` `div-exp_binary64_11382` `difference-of-squares_binary64_11300` `associate-/l/_binary64_11278` `pow1_binary64_11392` `cbrt-undiv_binary64_11365` `associate-/r/_binary64_11277` `flip3--_binary64_11335` `associate-*r/_binary64_11273` `flip--_binary64_11306`
1×	`cbrt-unprod_binary64_11364` `+-commutative_binary64_11261` `associate-/l*_binary64_11276` `div-inv_binary64_11328` `sum-log_binary64_11422` `frac-2neg_binary64_11342` `distribute-lft-out_binary64_11282` `prod-exp_binary64_11380` `flip3-+_binary64_11334` `flip-+_binary64_11305` `clear-num_binary64_11330`

Counts

2 → 41

Calls

4 calls:

17.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
9.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

series674.0ms (5.5%)

Counts

2 → 61

Calls

2 calls:

444.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
230.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

Compiler

Compiled 1650 to 1256 computations (23.9% saved)

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4990	2091
1	4990	2091

prune63.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	102	4	106

Error

Counts

106 → 4

Compiler

Compiled 1679 to 300 computations (82.1% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	1956	807
1	1956	807

regimes534.0ms (4.4%)

Compiler: Compiled 4572 to 3948 computations (13.6% saved)

bsearch0.0ms (0%)

regimes684.0ms (5.6%)

Compiler: Compiled 4308 to 3820 computations (11.3% saved)

bsearch36.0ms (0.3%)

Steps

Iters	Range		Point
8	1.6508658972003902e+43	1.3643793601932884e+46	1.672021968335163e+43
6	-2.1907864839819453e-19	-5.203713113641207e-20	-5.960308320085401e-20

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes452.0ms (3.7%)

Compiler: Compiled 1943 to 2212 computations (-13.8% saved)

bsearch45.0ms (0.4%)

Steps

Iters	Range		Point
8	1.6508658972003902e+43	1.3643793601932884e+46	1.672021968335163e+43
11	-5.005653007693071e-54	-7.9709376670441205e-78	-2.45465729562505e-60

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes410.0ms (3.4%)

Compiler: Compiled 1751 to 2036 computations (-16.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes340.0ms (2.8%)

Compiler: Compiled 1321 to 1588 computations (-20.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes541.0ms (4.4%)

Compiler: Compiled 1244 to 1518 computations (-22% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes507.0ms (4.1%)

Compiler: Compiled 1181 to 1455 computations (-23.2% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

regimes219.0ms (1.8%)

Compiler: Compiled 285 to 455 computations (-59.6% saved)

bsearch62.0ms (0.5%)

Steps

Iters	Range		Point
9	3.430265048555793e+50	2.0723380435968503e+57	2.3126298001576838e+55
5	-8.239050248916596e-169	-3.6818385314856125e-169	-8.142568326833419e-169
7	-1.3839090242585192e-09	-7.073290050876785e-12	-7.1804636252200155e-12
6	-1.2626878379329006e+99	-1.6493332552575742e+98	-2.184583787047839e+98

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes186.0ms (1.5%)

Compiler: Compiled 240 to 410 computations (-70.8% saved)

bsearch33.0ms (0.3%)

Steps

Iters	Range		Point
9	3.430265048555793e+50	2.0723380435968503e+57	2.930854184528944e+52
5	-8.239050248916596e-169	-3.6818385314856125e-169	-6.598857573502581e-169

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes197.0ms (1.6%)

Compiler: Compiled 195 to 365 computations (-87.2% saved)

bsearch32.0ms (0.3%)

Steps

Iters	Range		Point
8	7.361889772432241e-94	6.239648270123538e-91	1.7508724934294406e-91
5	-8.239050248916596e-169	-3.6818385314856125e-169	-8.142568326833419e-169

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes139.0ms (1.1%)

Compiler: Compiled 80 to 235 computations (-193.8% saved)

bsearch31.0ms (0.3%)

Steps

Iters	Range		Point
9	3.430265048555793e+50	2.0723380435968503e+57	2.4940199285885987e+51
5	-8.239050248916596e-169	-3.6818385314856125e-169	-8.142568326833419e-169

Compiler

Compiled 1 to 5 computations (-400% saved)

regimes56.0ms (0.5%)

Compiler: Compiled 45 to 195 computations (-333.3% saved)

bsearch0.0ms (0%)

regimes50.0ms (0.4%)

Compiler: Compiled 30 to 165 computations (-450% saved)

bsearch0.0ms (0%)

regimes43.0ms (0.4%)

Accuracy

Total 0.6b remaining (99.8%)

Threshold costs 0.6b (99.8%)

Compiler

Compiled 25 to 140 computations (-460% saved)

bsearch15.0ms (0.1%)

Compiler: Compiled 416 to 236 computations (43.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	218	586
1	218	586

end0.0ms (0%)

sample1.5s (12.4%)

Algorithm

1×

intervals

Results

306.0ms	7998×	body	128	valid
26.0ms	711×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 949 to 715 computations (24.7% saved)

Pareto

0.9531256618134496

Details

analyze888.0ms (7.3%)

sample23.0ms (0.2%)

simplify230.0ms (1.9%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite43.0ms (0.4%)

series850.0ms (7%)

simplify86.0ms (0.7%)

prune186.0ms (1.5%)

localize10.0ms (0.1%)

rewrite119.0ms (1%)

series1.2s (9.4%)

simplify129.0ms (1.1%)

prune368.0ms (3%)

localize11.0ms (0.1%)

rewrite112.0ms (0.9%)

series480.0ms (3.9%)

simplify109.0ms (0.9%)

prune363.0ms (3%)

localize8.0ms (0.1%)

rewrite29.0ms (0.2%)

series674.0ms (5.5%)

simplify68.0ms (0.6%)

prune63.0ms (0.5%)

simplify65.0ms (0.5%)

regimes534.0ms (4.4%)

bsearch0.0ms (0%)

regimes684.0ms (5.6%)

bsearch36.0ms (0.3%)

regimes452.0ms (3.7%)

bsearch45.0ms (0.4%)

regimes410.0ms (3.4%)

bsearch1.0ms (0%)

regimes340.0ms (2.8%)

bsearch1.0ms (0%)

regimes541.0ms (4.4%)

bsearch1.0ms (0%)

regimes507.0ms (4.1%)

bsearch1.0ms (0%)

regimes219.0ms (1.8%)

bsearch62.0ms (0.5%)

regimes186.0ms (1.5%)

bsearch33.0ms (0.3%)

regimes197.0ms (1.6%)

bsearch32.0ms (0.3%)

regimes139.0ms (1.1%)

bsearch31.0ms (0.3%)

regimes56.0ms (0.5%)

bsearch0.0ms (0%)

regimes50.0ms (0.4%)

bsearch0.0ms (0%)

regimes43.0ms (0.4%)

bsearch15.0ms (0.1%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample1.5s (12.4%)

Profiling